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Finding the Third Proportional to 19,972 and 38,390

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Solution

The third proportional to 19,972 and 38,390 is: 73,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972 : 38,390 = 38,390 : x
  2. Step 2: Convert to fraction form
    19,972/38,390 = 38,390/x
  3. Step 3: Cross multiply
    19,972x = 38,390 × 38,390
  4. Step 4: Simplify right side
    19,972x = 1,473,792,100
  5. Step 5: Solve for x
    x = 1,473,792,100/19,972
  6. Step 6: Final answer
    x = 73,792.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.